Short Course Description
Vector Analysis and an Introduction to Tensors: Differential geometry of curves in 3-space; Differentiation: gradient, divergence, curl; Integration: Gauss, Stokes, and Green theorems; Curvilinear coordinates; Contra- and Co-variant vectors and tensors, basic operations with tensors and physical examples.
Ordinary Differential Equations (ODEs): Classification; Methods of solution of mainly first and second order equations, and of general linear equations; Dynamics: fixed points, limit cycles, bifurcations.
Full Syllabus